==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

Let's try our equation.

$f(x) = 10,000 (1.5)^x$

$x=2$

$10,000(1.5)^2$

$10,000(2.25) = 22,500$

*Edit: I just seen that the question is related to the picture question

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